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135763668 = 22331257071
BaseRepresentation
bin10000001011110…
…01011011010100
3100110110111202000
420011321123110
5234223414133
621245515300
73235654305
oct1005713324
9313414660
10135763668
116a6a9287
1239572b30
1322186041
14140607ac
15bdbb413
hex81796d4

135763668 has 24 divisors (see below), whose sum is σ = 351980160. Its totient is φ = 45254520.

The previous prime is 135763657. The next prime is 135763679. The reversal of 135763668 is 866367531.

135763668 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 636 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (135763657) and next prime (135763679).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628428 + ... + 628643.

It is an arithmetic number, because the mean of its divisors is an integer number (14665840).

Almost surely, 2135763668 is an apocalyptic number.

135763668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135763668 is an abundant number, since it is smaller than the sum of its proper divisors (216216492).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135763668 is a wasteful number, since it uses less digits than its factorization.

135763668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257084 (or 1257076 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 135763668 is about 11651.7667329895. The cubic root of 135763668 is about 513.9582649677.

It can be divided in two parts, 1357 and 63668, that added together give a square (65025 = 2552).

The spelling of 135763668 in words is "one hundred thirty-five million, seven hundred sixty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1257071 2514142 3771213 5028284 7542426 11313639 15084852 22627278 33940917 45254556 67881834 135763668